面向液体成型结构的双尺度孔隙率分区刚度折减方法

Dual-scale porosity partition stiffness reduction method for liquid forming structures

  • 摘要: 针对液体成型工艺导致孔隙缺陷明显且分布不均匀的问题,提出一种基于双尺度孔隙率分区及刚度折减的分析方法。首先,分析液体成型工艺中孔隙的形成机制,基于宏观-微观双尺度模型表征两种孔隙的分布规律并求解孔隙率,考虑孔隙不均匀分布设计结构分区;其次,从细观力学层面考虑孔隙率影响,结合基于混合率法则的刚度折减理论修正弹性参数E1E2G12v12;最后,结合孔隙不均匀分区和刚度折减建立结构有限元模型并开展结构强度分析,以拉伸承载下树脂传递模塑(Resin Transfer Molding,RTM)成型的耳片接头为案例进行验证。结果表明,双尺度孔隙率分区能够表征耳片孔隙率在渗透方向上的不均匀分布特征,且孔隙缺陷对弹性参数和结构强度影响较大,如孔隙率达3.2%时G12折减达9%,孔隙率为1%时折减程度为3%;与不考虑孔隙缺陷相比,耳片挤压强度下降了14.6%。结合分区模型和刚度折减方法,耳片结构的挤压强度分析结果与试验数据的相对误差为4.2%。双尺度孔隙率分区刚度折减方法为考虑孔隙缺陷的液体成型结构强度分析提供解决途径。

     

    Abstract: To address the issue of pronounced and non-uniform void defects resulting from the liquid forming process, a dual-scale porosity partitioning and stiffness reduction analysis method was proposed. First, the formation mechanism of porosity in the liquid forming process was analyzed, and the distribution patterns of two types of porosity ware characterized and resolved using the macro-micro scale models, with structural zoning designed to account for non-uniform porosity distribution. Next, the influence of porosity rate was considered from the micromechanics perspective and the elastic parameters E1, E2, G12, and v12 were modified using stiffness reduction theory based on the rule of mixtures. Finally, a structural finite element model was established by combining non-uniform porosity zoning and stiffness reduction for structural strength analysis, and validated using a lug joint formed through Resin Transfer Molding (RTM) under tensile load as an example. Results show that dual-scale porosity zoning can characterize the non-uniform distribution features of lug porosity in the penetration direction, and porosity defects significantly impact elastic parameters and structural strength—for instance, with a porosity rate of 3.2%, G12 is reduced by 9%, while at 1% porosity rate, the reduction is 3%; compared to scenarios without consideration of void defects, the lug bearing strength decreased by 14.6%. Considering the zoning model and stiffness reduction method, the relative error between the lug structure strength analysis results and test data is 4.2%. The dual-scale porosity zoning stiffness reduction method provides a solution for analyzing the strength of liquid-formed structures considering void defects.

     

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